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Finding the Fourth Proportional to 7,565.80, 10,441.12 and 4,208.60

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Solution

The fourth proportional to 7,565.80, 10,441.12 and 4,208.60 is: 5,808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.80 : 10,441.12 = 4,208.60 : x
  2. Step 2: Convert to fraction form
    7,565.80/10,441.12 = 4,208.60/x
  3. Step 3: Cross multiply
    7,565.80x = 10,441.12 × 4,208.60
  4. Step 4: Simplify right side
    7,565.80x = 43,942,497.63
  5. Step 5: Solve for x
    x = 43,942,497.63/7,565.80
  6. Step 6: Final answer
    x = 5,808.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.